What is the Greatest Common Factor of 44125 and 44136?

Greatest common factor (GCF) of 44125 and 44136 is 1.

GCF(44125,44136) = 1

We will now calculate the prime factors of 44125 and 44136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44125 and 44136.

How to find the GCF of 44125 and 44136?

We will first find the prime factorization of 44125 and 44136. After we will calculate the factors of 44125 and 44136 and find the biggest common factor number .

Step-1: Prime Factorization of 44125

Prime factors of 44125 are 5, 353. Prime factorization of 44125 in exponential form is:

44125 = 5³ × 353¹

Step-2: Prime Factorization of 44136

Prime factors of 44136 are 2, 3, 613. Prime factorization of 44136 in exponential form is:

44136 = 2³ × 3² × 613¹

Step-3: Factors of 44125

List of positive integer factors of 44125 that divides 44125 without a remainder.

1, 5, 25, 125, 353, 1765, 8825

Step-4: Factors of 44136

List of positive integer factors of 44136 that divides 44125 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 613, 1226, 1839, 2452, 3678, 4904, 5517, 7356, 11034, 14712, 22068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44125 and 44136. The biggest common factor number is the GCF number.
So the greatest common factor 44125 and 44136 is 1.

Also check out the Least Common Multiple of 44125 and 44136